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A "Smudge baby" is born when a man or woman without pants (or with crotchless pants) is sitting on a sofa, and shits on the sofa and it smudges all over it.

Originating from a chinese pop song. Lyrics can be found here:
Phil looked at Matt and observed drily, "Mark just birthed a smudge baby all over your sofa."

by Carnifex2009 April 03, 2009
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